### SAT Topics

FISHER BURNS SITE
NUMBER and OPERATION
arithmetic word problems
(including percent, ratio, and proportion)
 changing decimals to percents (Algebra I) changing percents to decimals (Algebra I) writing expressions involving percent increase and decrease (Algebra I) calculating percent increase and decrease (Algebra I) problems involving percent increase and decrease (Algebra I) more problems involving percent increase and decrease (Algebra I) similarity, ratios, and proportions (Geometry)
properties of integers (even, odd, prime numbers, divisibility, etc.)
 divisibility (even, odd; Algebra I) deciding if a number is a whole number, an integer, etc. (Algebra I) adding fractions (prime numbers; Algebra I)
rational numbers
 exact versus approximate (rational numbers; Algebra I)
logical reasoning
 practice with the mathematical words and, or, and is equivalent to (Algebra I) "if ... then ..." sentences (Geometry) contrapositive and converse (Geometry) proof techniques (Geometry) parallelograms and negating sentences (Geometry)
sets (union, intersection, elements)
 introduction to sets (Algebra I) advanced set concepts (Algebra II)
counting techniques
 choosing things: does order matter? (Algebra II) factorial notation (Algebra II) combinations and permutations (Algebra II)
sequences and series (including exponential growth)
 introduction to recursion and sequences (Algebra II) arithmetic and geometric sequences (Algebra II)
elementary number theory
ALGEBRA and FUNCTIONS
substitution and simplifying algebraic expressions
 practice with order of operations (Algebra I)
properties of exponents
 practice with exponents (Algebra I) basic exponent practice with fractions (Algebra I) one-step exponent law practice (Algebra I) multi-step exponent law practice (Algebra I)
algebraic word problems
 going from a sequence of operations to an expression (Algebra I) going from an expression to a sequence of operations (Algebra I) translating simple mathematical phrases (Algebra I) word problems involving perfect squares (Algebra I) simple word problems resulting in linear equations (Algebra I)
solutions of linear equations and inequalities
 practice with the Addition Property of Equality (Algebra I) practice with the Multiplication Property of Equality (Algebra I) solving simple linear equations with integer coefficients (Algebra I) solving more complicated linear equations with integer coefficients (Algebra I) solving linear equations involving fractions (Algebra I) solving linear equations, all mixed up (Algebra I) solving simple linear inequalities with integer coefficients (Algebra I) solving linear inequalities with integer coefficients (Algebra I) solving linear inequalities involving fractions (Algebra I)
systems of equations and inequalities
 introduction to systems of equations (Algebra II) solving systems using substitution (Algebra II) solving systems using elimination (Algebra II)
 basic concepts involved in factoring trinomials (Algebra I) factoring x2 + bx + c,   c > 0 (Algebra I) factoring x2 + bx + c,   c < 0 (Algebra I) factoring trinomials, all mixed up (Algebra I) identifying quadratic equations (Algebra I) writing quadratic equations in standard form (Algebra I) solving simple quadratic equations by factoring (Algebra I) the quadratic formula (Algebra II)
equations of lines
 graphing lines (Algebra I) finding equations of lines (Algebra I) point-slope form (Algebra I) horizontal and vertical lines (Algebra I)
absolute value
 simplifying basic absolute value expressions (Algebra I) determining the sign (plus or minus) of absolute value expressions (Algebra I) solving simple absolute value sentences (Algebra I) solving sentences like 2x - 1 = ±5 (Algebra I) solving absolute value equations (Algebra I) solving absolute value inequalities involving "less than" (Algebra I) solving absolute value inequalities involving "greater than" (Algebra I) solving absolute value sentences (all kinds) (Algebra I) algebraic definition of absolute value (Algebra II)
direct and inverse variation
 Getting bigger? Getting smaller? (Algebra I)
concepts of algebraic functions
 introduction to functions (Algebra I) introduction to function notation (Algebra I) more practice with function notation (Algebra I) domain and range of a function (Algebra I) graphs of functions (Algebra II) basic models you must know (Algebra II) graphical interpretation of sentences like  f(x) = 0  and  f(x) > 0 (Algebra II) composition of functions (Algebra II)
newly defined symbols based on commonly used operations
GEOMETRY and MEASUREMENT
area and perimeter of a polygon
 introduction to polygons (Geometry) introduction to area and perimeter (Geometry) area formulas: triangle, parallelogram, trapezoid (Geometry) perimeters and areas of similar polygons (Geometry)
area and circumference of a circle
 Area of a Circular Sector (Precalculus) Length of a Circular Arc (and related concepts) (Precalculus)
volume of a box, cube, and cylinder
Pythagorean theorem and special properties of isoceles, equilateral, and right triangles
 the Pythagorean theorem (Geometry) two special triangles (Geometry) relationships between angles and sides in triangles (Geometry)
properties of parallel and perpendicular lines
 parallel and perpendicular lines (Algebra I) parallel lines (Geometry)
coordinate geometry
 locating points in quadrants and on axes (Algebra I) practice with points (Algebra I) the distance formula (Algebra I) the midpoint formula (Algebra I)
geometric visualization
slope
 introduction to the slope of a line (Algebra I) practice with slope (Algebra I)
similarity
 similarity, ratios, and proportions (Geometry) triangle congruence (Geometry)
transformations
 vertical and horizontal translations (moving up, down, left, and right) (Algebra II) vertical and horizontal scaling (stretching and shrinking) (Algebra II) reflecting about the  x  and  y  axes; the absolute value transformation (Algebra II) graphical transformations: all mixed up (Algebra II)
DATA ANALYSIS, STATISTICS, and PROBABILITY
data interpretation
statistics (mean, median, and mode)
 summation notation (Algebra II) mean, median, and mode (Algebra II)
probability
 advanced set concepts (Algebra II) basic probability concepts (Algebra II) more probability concepts (Algebra II) probability tree diagrams (Algebra II)